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Popular >

derivative of-1/(x^2)+sec^2(x)

Solution

derivative of

- \frac{1}{x ^{2}} + sec^{2} (x)

Solution

\frac{2}{x ^{3}} + 2 sec^{2} (x) tan (x)

Solution steps

\frac{d}{d x} (- \frac{1}{x ^{2}} + sec^{2} (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= - \frac{d}{d x} (\frac{1}{x ^{2}}) + \frac{d}{d x} (sec^{2} (x))

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

\frac{d}{d x} (sec^{2} (x)) = 2 sec^{2} (x) tan (x)

= - (- \frac{2}{x ^{3}}) + 2 sec^{2} (x) tan (x)

Simplify

= \frac{2}{x ^{3}} + 2 sec^{2} (x) tan (x)

Popular Examples

limit as x approaches 1+of (3x)/(x^2-1)

x \to 1 + lim (\frac{3 x}{x ^{2} - 1})

integral of sqrt((1+(1/(4x^{2/3))))}

\int (1 + (\frac{1}{4 x ^{\frac{2}{3}}})) d x

(dy)/(dx)=2y-2y^5

\frac{d y}{d x} = 2 y - 2 y^{5}

sum from n=0 to infinity of 1/((n+1)^2)

n = 0 \sum \infty \frac{1}{( n + 1 ) ^{2}}

integral of (ln(x)+1)/(x^2)

\int \frac{ln ( x ) + 1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the derivative of-1/(x^2)+sec^2(x) ?
The derivative of-1/(x^2)+sec^2(x) is 2/(x^3)+2sec^2(x)tan(x)
What is the first derivative of-1/(x^2)+sec^2(x) ?
The first derivative of-1/(x^2)+sec^2(x) is 2/(x^3)+2sec^2(x)tan(x)